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Question: A bicycle wheel has mass of the rim 1 kg and 50 spokes each of mass 5g. If radius of the wheel is 40...

A bicycle wheel has mass of the rim 1 kg and 50 spokes each of mass 5g. If radius of the wheel is 40 cm then find the MOI of the wheel.

A

0.160 kg m2

B

0.174 kg m2

C

0.18 kg m2

D

0.196 kg m2

Answer

0.174 kg m2

Explanation

Solution

I = MR2 + 50 m l23\frac{l^{2}}{3}

= 1(0.4)2 + 50(5×10−3)3(0.43)2\frac{50\left( 5 \times 10^{- 3} \right)}{3}\left( \frac{0.4}{3} \right)^{2}

= 0.16 [1+0.253]=0.174Kgm2\left\lbrack 1 + \frac{0.25}{3} \right\rbrack = 0.174Kgm^{2}